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2246915560 = 23556172889
BaseRepresentation
bin1000010111101101…
…0011010111101000
312210120222010200211
42011323103113220
514100202244220
61010543110504
7106452316141
oct20573232750
95716863624
102246915560
11a53363a0a
125285a2434
1329a679b46
141745b0ac8
15d23d7b5a
hex85ed35e8

2246915560 has 16 divisors (see below), whose sum is σ = 5055560100. Its totient is φ = 898766208.

The previous prime is 2246915521. The next prime is 2246915597. The reversal of 2246915560 is 655196422.

It can be written as a sum of positive squares in 2 ways, for example, as 2129453316 + 117462244 = 46146^2 + 10838^2 .

It is a super-2 number, since 2×22469155602 = 10097259067540227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 56172889 = 2246915560 / (2 + 2 + 4 + 6 + 9 + 1 + 5 + 5 + 6 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28086405 + ... + 28086484.

Almost surely, 22246915560 is an apocalyptic number.

2246915560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246915560 is an abundant number, since it is smaller than the sum of its proper divisors (2808644540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2246915560 is a wasteful number, since it uses less digits than its factorization.

2246915560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172900 (or 56172896 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 2246915560 is about 47401.6408998676. The cubic root of 2246915560 is about 1309.7716440527.

The spelling of 2246915560 in words is "two billion, two hundred forty-six million, nine hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 56172889 112345778 224691556 280864445 449383112 561728890 1123457780 2246915560